Reasons for college students making reversal errors translating a sentence to an equation were explored in six studies. The principal sources were haste, failure to check, failure to base the equation on the sentence meaning, and use of nonalgebraic symbols. Students could successfully check when prompted. (MNS)

An investigation into the effectiveness of pretesting using a departmental business mathematics test and the ACT mathematics test was conducted at Ferris State College. Both students and faculty seemed to benefit from the decision to use the ACT mathematics score in sectioning the business mathematics course. (CT)

A teacher's personal account of teaching remedial mathematics in college is given. (MK)

Two definitions of numeracy are considered. A process for developing numeracy is outlined. (MK)

A geometric interpretation is given to the proof of the theorem that states that the symmetry group of a square is not a normal subgroup of the symmetry group of the regular tetrahedron. (MP)

Two problems related to the mean-value theorem lead into a problem requiring the use of the universal chord theorem. This latter theorem is discussed and a proof given. (MP)

A mathematics instructor at Muskegon Community College describes his successful use of rear-view slide projection, audio tapes, and videotapes in teaching calculus. (DC)

An identity for sin x/x is proved. Rate of convergence, a geometric interpretation, and an application from physics are discussed. (DT)

The Moore methods, in which college mathematics students prove theorems for themselves, is described. Difficulties and drawbacks to this method, appropriate areas of mathematics in which the Moore method can be used, and techniques in using the method are discussed. (DT)

Asserts that the current assessment reform movement in statistics encourages instructors to think more broadly about cognitive measures that assess student learning and to incorporate authentic assessment, performance assessment, and portfolio assessment. Discusses areas to consider for assessment, problems with typical assessments, and…

Answered is the question, "If we label 12 spheres and roll them over the surface of an inner sphere at will, what permutations are achievable?" Illustrations are included. (MNS)

Point and circle configurations are not well known, so Clifford's chain of theorems and Miquel's theorem, whose diagrams exhibit such configurations, are discussed. A new theorem similar to Miquel's is then presented. (MNS)

This note presents a simple theorem which explains why the method of undetermined coefficients works in finding a particular solution, both for differential equations and difference equations. (Author)

Given a multiplicative group of nonzero elements with order n, the explicit relationship between the number of cyclic subgroups of order d, which divides n, is used in the proof concerning the cyclic nature of that given multiplicative group. (JJK)